Answer:
V = a³/8
Step-by-step explanation:
The volume of the original cube is the cube of the side length:
V = a³
When the side length is reduced to half its former value, the new volume is ...
V = (a/2)³ = a³/2³
V = a³/8 . . . . volume of the new cube
Answer:
5, 7, 9
Step-by-step explanation:
Using the information given we get:
<em>Add 7 to both sides</em>
<em>Subtract 2x from both sides</em>
<em>Divide both sides by 3</em>
Using these equations:
and
We get:
Answer: 10y3 + 5x3 + 2
Step-by-step explanation:
Answer:
The answer is 2.0190
Step-by-step explanation:
<em>From the given question,</em>
<em>We recall that,</em>
<em>p = 141/241 = 0.5850</em>
<em>so, p = 0.5</em>
<em>The Hypothesis is:</em>
<em>H₀ : P = 0.5, this means that H0:50% of the games played will be won</em>
<em>vs</em>
<em>H₁ : P > 0.5, This indicates that, win is greater than 0.5 due to home field advantages.</em>
<em>n=241,x=141</em>
<em>Then,</em>
<em>SD(p)=√(p*q/n)=√(0.5*0.5/141)=0.0421</em>
<em>z = p - p/ SD (p) = 0.5850 - 0.5/0.0421 = 0.085/0.0421 =2.0190</em>
<em>therefore, there is strong evidence that there is home field advantages in professional football.</em>
We have to find x and x is the hypotenuse. We use this formula:
hyp²=side²+side²
So:
hyp²=side²+side²
hyp²= 12²+9²
hyp²= 225
hyp²= √225
hyp= 15
Therefore, the hypotenuse is 15 and x is 15.
HOPE THIS HELPS!
HAVE A GR8 EVENING ;-)